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Add 21/98 and 40/48

21/98 + 40/48 is 22/21.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 98 and 48 is 2352

    Next, find the equivalent fraction of both fractional numbers with denominator 2352
  2. For the 1st fraction, since 98 × 24 = 2352,
    21/98 = 21 × 24/98 × 24 = 504/2352
  3. Likewise, for the 2nd fraction, since 48 × 49 = 2352,
    40/48 = 40 × 49/48 × 49 = 1960/2352
  4. Add the two like fractions:
    504/2352 + 1960/2352 = 504 + 1960/2352 = 2464/2352
  5. 2464/2352 simplified gives 22/21
  6. So, 21/98 + 40/48 = 22/21
    In mixed form: 11/21

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